Eva A. Gallardo-Gutiérrez
Complutense University of Madrid
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Featured researches published by Eva A. Gallardo-Gutiérrez.
Proceedings of the American Mathematical Society | 2008
Eva A. Gallardo-Gutiérrez; Jonathan R. Partington
We provide a criterion for the existence of a residual set of common hypercyclic vectors for an uncountable family of hypercyclic operators which is based on a previous one given by Costakis and Sambarino. As an application, we get common hypercyclic vectors for a particular family of hypercyclic scalar multiples of the adjoint of a multiplier in the Hardy space, generalizing recent results by Abakumov and Gordon and also Bayart. The criterion is applied to other specific families of operators.
Transactions of the American Mathematical Society | 2008
Eva A. Gallardo-Gutiérrez; María J. González; Artur Nicolau
In this note, composition operators on Bergman spaces of a simply connected domain are studied characterizing boundedness and compactness of such operators whenever the domain is Lavrentiev.
Concrete Operators | 2016
Carl C. Cowen; Eva A. Gallardo-Gutiérrez
Abstract The Invariant Subspace Problem for Hilbert spaces is a long-standing question and the use of universal operators in the sense of Rota has been an important tool for studying such important problem. In this survey, we focus on Rota’s universal operators, pointing out their main properties and exhibiting some old and recent examples.
Journal of The London Mathematical Society-second Series | 2015
Eva A. Gallardo-Gutiérrez; Pekka Nieminen
A remarkable result by Denjoy and Wolff states that every analytic self-map. of the open unit disc D of the complex plane, except an elliptic automorphism, has an attractive fixed point to which the sequence of iterates {phi(n)}(n >= 1) converges uniformly on compact sets: if there is no fixed point in D, then there is a unique boundary fixed point that does the job, called the Denjoy-Wolff point. This point provides a classification of the analytic self-maps of D into four types: maps with interior fixed point, hyperbolic maps, parabolic automorphism maps and parabolic non-automorphism maps. We determine the convergence of the Aleksandrov-Clark measures associated to maps falling in each group of such classification
Transactions of the American Mathematical Society | 2012
Eva A. Gallardo-Gutiérrez; Pamela Gorkin
We show that to each inner function, there corresponds at least one interpolating Blaschke product whose angular derivatives have precisely the same behavior as the given inner function. We characterize the Blaschke products invertible in the closed algebra H-infinity[(b) over bar : b has finite angular derivative everywhere]. We study the most well-known example of a Blaschke product with infinite angular derivative everywhere and show that it is an interpolating Blaschke product. We conclude the paper with a method for constructing thin Blaschke products with infinite angular derivative everywhere.
Complex Variables and Elliptic Equations | 2007
Eva A. Gallardo-Gutiérrez; María J. González
In this note, composition operators on Bergman spaces of a simply connected domain are studied characterizing boundedness and compactness of such operators whenever the domain is Lavrentiev. §Dedicated to Professor Peter L. Duren on the occasion of his 70th birthday.
Journal of Functional Analysis | 2006
Carl C. Cowen; Eva A. Gallardo-Gutiérrez
Journal de Mathématiques Pures et Appliquées | 2011
Eva A. Gallardo-Gutiérrez; Pamela Gorkin
Proceedings of the London Mathematical Society | 2013
Eva A. Gallardo-Gutiérrez; María J. González; Fernando Pérez-González; Christian Pommerenke; Jouni Rättyä
Mathematische Annalen | 2015
Isabelle Chalendar; Eva A. Gallardo-Gutiérrez; Jonathan R. Partington